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Finding the Fourth Proportional to 2,105.88, 2,905.80 and 1,209.66

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Solution

The fourth proportional to 2,105.88, 2,905.80 and 1,209.66 is: 1,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.88 : 2,905.80 = 1,209.66 : x
  2. Step 2: Convert to fraction form
    2,105.88/2,905.80 = 1,209.66/x
  3. Step 3: Cross multiply
    2,105.88x = 2,905.80 × 1,209.66
  4. Step 4: Simplify right side
    2,105.88x = 3,515,030.03
  5. Step 5: Solve for x
    x = 3,515,030.03/2,105.88
  6. Step 6: Final answer
    x = 1,669.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.